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Finding the Fourth Proportional to 16,819.81, 23,211.35 and 9,750.34

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Solution

The fourth proportional to 16,819.81, 23,211.35 and 9,750.34 is: 13,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.81 : 23,211.35 = 9,750.34 : x
  2. Step 2: Convert to fraction form
    16,819.81/23,211.35 = 9,750.34/x
  3. Step 3: Cross multiply
    16,819.81x = 23,211.35 × 9,750.34
  4. Step 4: Simplify right side
    16,819.81x = 226,318,554.36
  5. Step 5: Solve for x
    x = 226,318,554.36/16,819.81
  6. Step 6: Final answer
    x = 13,455.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.